Radius Of Curvature In Polar Form

Radius of Curvature in Polar Form:

Let r = f (θ) be the equations of the curve in the polar form and p(r, θ) be a point on it. Then we know that Differentiate w.r.t r we get;

By using the above equations we get;

This is the formula of the radius of curvature in the polar form.